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Finding the Third Proportional to 794,267,291 and 1,731,547,381

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Solution

The third proportional to 794,267,291 and 1,731,547,381 is: 3,774,870,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,267,291 : 1,731,547,381 = 1,731,547,381 : x
  2. Step 2: Convert to fraction form
    794,267,291/1,731,547,381 = 1,731,547,381/x
  3. Step 3: Cross multiply
    794,267,291x = 1,731,547,381 × 1,731,547,381
  4. Step 4: Simplify right side
    794,267,291x = 2,998,256,332,647,959,040
  5. Step 5: Solve for x
    x = 2,998,256,332,647,959,040/794,267,291
  6. Step 6: Final answer
    x = 3,774,870,709.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.